Nielsen equivalence in a class of random groups

Ilya Kapovich; Richard Weidmann

doi:10.1112/jtopol/jtw001

Nielsen equivalence in a class of random groups

Ilya Kapovich, Richard Weidmann

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that, for every n ≥ 2, there exists a torsion-free one-ended word-hyperbolic group G of rank n admitting generating n-tuples (a1, . . . , an) and (b1, . . . , bn) such that the (2n - 1)-tuples are not Nielsen equivalent in G. The group G is produced via a probabilistic construction.

Original language	English (US)
Article number	jtw001
Pages (from-to)	502-534
Number of pages	33
Journal	Journal of Topology
Volume	9
Issue number	2
DOIs	https://doi.org/10.1112/jtopol/jtw001
State	Published - Jun 6 2016

ASJC Scopus subject areas

Geometry and Topology

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10.1112/jtopol/jtw001

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Nielsen equivalence in a class of random groups

Abstract

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